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Finding the Fourth Proportional to 4,681.82, 6,460.62 and 2,586

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Solution

The fourth proportional to 4,681.82, 6,460.62 and 2,586 is: 3,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.82 : 6,460.62 = 2,586 : x
  2. Step 2: Convert to fraction form
    4,681.82/6,460.62 = 2,586/x
  3. Step 3: Cross multiply
    4,681.82x = 6,460.62 × 2,586
  4. Step 4: Simplify right side
    4,681.82x = 16,707,163.32
  5. Step 5: Solve for x
    x = 16,707,163.32/4,681.82
  6. Step 6: Final answer
    x = 3,568.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.